A quasi-linear time algorithm for computing modular polynomials in dimension 2
| hal.structure.identifier | Lithe and fast algorithmic number theory [LFANT] | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | MILIO, Enea | |
| dc.date.accessioned | 2024-04-04T03:17:58Z | |
| dc.date.available | 2024-04-04T03:17:58Z | |
| dc.date.issued | 2015 | |
| dc.identifier.issn | 1461-1570 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/194356 | |
| dc.description.abstractEn | We propose to generalize the work of Régis Dupont for computing modular polynomials in dimension 2 to new invariants. We describe an algorithm to compute modular polynomials for invariants derived from theta constants and prove under some heuristics that this algorithm is quasi-linearin its output size. Some properties of the modular polynomials defined from quotients of theta constants are analyzed.We report on experiments with our implementation. | |
| dc.language.iso | en | |
| dc.publisher | London Mathematical Society | |
| dc.rights.uri | http://hal.archives-ouvertes.fr/licences/copyright/ | |
| dc.title.en | A quasi-linear time algorithm for computing modular polynomials in dimension 2 | |
| dc.type | Article de revue | |
| dc.subject.hal | Mathématiques [math] | |
| dc.description.sponsorshipEurope | Algorithmic Number Theory in Computer Science | |
| bordeaux.journal | LMS Journal of Computation and Mathematics | |
| bordeaux.page | 603-632 | |
| bordeaux.volume | 18 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-01080462 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-01080462v1 | |
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